School

University of Waterloo **We aren't endorsed by this school

Course

STAT 333

Subject

Statistics

Date

Sep 4, 2023

Type

Other

Pages

3

Uploaded by PATEL41802 on coursehero.com

week
Breakdown
weeks
i y
univariatet
generating
functions
s s
s
multivariate
conditional
9
in
a
stochasticprocess
Lawsof
probability
Random
Expirement
as
long
as
outcomes
are
uncertain
samplespace
n
setofall
possible
outcomes
of
a
random
expirement
Ex
Toss
a
coin
twice
a
Iii
ItIt
all
outcomes
are
equally
limey
it
É
number
of
heads
outcome
arenot
equally
incley
Event
subspace
ofthe
sample
space
a
atleast
one
Heads
HitHeHt
Probability
is
a
function
that
maps
events
to
thereallife
satisfying
the
properties
Axiom
as
pinso proto
Axiom
a
ItAnAa
an
are
mut
any
exclusive
then
Pc
ai
Pai
Pebble
Intepretation
Tmspace
Each
pebble
hasa
weight
wi
w
EE
wit
wa
classical
Detination
pembles
in
If
the
weight
are
equal
a
w
I
Yin
of
Pebble
w
s
y
Ex
total
of
Laws
of
Probability
is A
a
pass
i peas
A
one
s
fiftiespitta
peas
peas
pears
i
peas
2
A
EB
Pease
RB
B Aoe
B A
passpass
pay
non
negative
B
pass
apea

Howto
Add
up
two
events
Peau
B
Disjoint
Peas
teas
otherwise
Peau
B
pea
PCBS
PLAN
B
Hwa
on
Wapo
PCA
RB PlanB
mut
any
exclusive
Peau
Bud past
PCBs
Pee
Plan
B
O
T
pianistpeanestpanes
Plan
Bnc
Example
Da
Montfort'sproblem
4
letters
4
envelopes
letters
are
put
in
envelopes
randomly
plat
leastone
letter
is
in
theright
envelope
let
Ai
event
where
theai
letter
goes
inthe
in
envelope
want
peau
as
u
as
u
au
pasta
cant
pass
Peau
peanaan
trainas painaust
pasta
nasi
put
anaust
putsnays
pea
naanas peanaanaustrain
assault
Plan
III
Patina
as
ay
2043044
414
1211
1
For
n
envelopes
I
Taylors
polyana
paina
onas
e
it
I
t
e
t
t
I 5
then
as
n so
prob
si
te
How
to
multiply
events
conditional
probability
we
have
a
probabiities
A
and
B B
occurred
thennow
wouldwe
update
our
probability
ofA
patio
prob
ofa
given
Boccured
put
unconditional
probability
pcaiBl
pq
I_adjuststafnpies.p
ace
past
PEEB
gyp

Example
Two
cards
aredrawn
without
replacement
A
1st
cardis
a
Heart
B
and
cardis
red
findPat
1B and
pain
B'IFB
puts
then
pants
gg
P'first
Heart
whatwe
know
PCBs
Information
matters
not
I
time
gypy
Notes
1
peal
B
Pobla
21
Information
matters
not
time
Lawoftotal
Probability
cop
Ba
Ba
Be
be
a
partition
ofthe
sample
space
planB
is
Bag
Let
it
beany
event
PCA PCA
IBD
PCB
Peal
Ba PlBa
Iz
praise
PcBr
Example
Twocoins
tanpins
m
onecoin's
chosen
at
random
and
tossed
sames
wantplan
three
are
heads
A
getting
steads
Bi first
coinwas
chosen
Bo
second
coinwas
chosen
Partitions
Bit
Bo
Plas
peal
Bi
plant
pea
Ba Ba
123
1413
Example
money
Hall